Scale Navigator

Slide from Planck (10−35m) to cosmic (1026m) and see how γ changes at every scale. The same equation applies everywhere.

Neural network

Brain

10-2 m

Ncorr

10⁹

γ

~10⁻⁵

Consciousness threshold C ≈ 0.50. Massive correlated firing.

10⁻³⁵m10²⁶mγ ≈ 1

The claim: the same equation C(ρ) = tanh(γ · log(ρ/ρcrit + 1)) applies at every one of these scales. One function, 80 orders of magnitude, from Planck to cosmic. Whether that claim survives testing is what the top 5 tests are for.

Key Insight: γ = 2 at Galaxy Scale

Stars in a galaxy are uncorrelated (Ncorr = 1, γ = 2). This is the same γ as an ideal gas. The “dark matter” signal emerges from applying the coherence function at this classical limit — patterns interacting indifferently with each other, coupled only by gravity.

All Scales at a Glance

ScaleSystemNcorrγ
10-35mPlanck length12
10-15mNucleus31.15
10-10mAtom12
10-9mMolecule41
10-8mProtein500.28
10-7mVirus2000.14
10-6mBacterium10000.06
10-5mCell100000.02
10-2mBrain10⁹~10⁻⁵
100mHuman10²³~10⁻¹²
107mEarth10⁵⁰~10⁻²⁵
1013mSolar system10⁵⁷~10⁻²⁹
1018mGalaxy arm12
1021mGalaxy12
1023mGalaxy cluster12
1026mObservable universe12

Related Concepts

Scale InvarianceFrom Planck to cosmic: 80 orders of magnitudeThe γ Parameterγ = 2/√N_corr: why 2, why √N